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41327820 = 2234597263
BaseRepresentation
bin1001110110100…
…1110011001100
32212202200010000
42131221303030
541034442240
64033444300
71011165162
oct235516314
985680100
1041327820
1121368226
1211a10690
138740041
1456bb232
153965430
hex2769ccc

41327820 has 120 divisors (see below), whose sum is σ = 131481504. Its totient is φ = 10865664.

The previous prime is 41327809. The next prime is 41327821. The reversal of 41327820 is 2872314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41327821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157009 + ... + 157271.

Almost surely, 241327820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41327820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65740752).

41327820 is an abundant number, since it is smaller than the sum of its proper divisors (90153684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41327820 is a wasteful number, since it uses less digits than its factorization.

41327820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41327820 is about 6428.6717135035. The cubic root of 41327820 is about 345.7383054660.

The spelling of 41327820 in words is "forty-one million, three hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 263 270 291 324 388 405 485 526 540 582 789 810 873 970 1052 1164 1315 1455 1578 1620 1746 1940 2367 2619 2630 2910 3156 3492 3945 4365 4734 5238 5260 5820 7101 7857 7890 8730 9468 10476 11835 13095 14202 15714 15780 17460 21303 23670 25511 26190 28404 31428 35505 39285 42606 47340 51022 52380 71010 76533 78570 85212 102044 106515 127555 142020 153066 157140 213030 229599 255110 306132 382665 426060 459198 510220 688797 765330 918396 1147995 1377594 1530660 2066391 2295990 2755188 3443985 4132782 4591980 6887970 8265564 10331955 13775940 20663910 41327820